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Stability Theory By Liapunov S Direct Method


Stability Theory By Liapunov S Direct Method
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Stability Theory By Liapunov S Direct Method


Stability Theory By Liapunov S Direct Method
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Author : Nicolas Rouche
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Stability Theory By Liapunov S Direct Method written by Nicolas Rouche and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


This monograph is a collective work. The names appear ing on the front cover are those of the people who worked on every chapter. But the contributions of others were also very important: C. Risito for Chapters I, II and IV, K. Peiffer for III, IV, VI, IX R. J. Ballieu for I and IX, Dang Chau Phien for VI and IX, J. L. Corne for VII and VIII. The idea of writing this book originated in a seminar held at the University of Louvain during the academic year 1971-72. Two years later, a first draft was completed. However, it was unsatisfactory mainly because it was ex ce~sively abstract and lacked examples. It was then decided to write it again, taking advantage of -some remarks of the students to whom it had been partly addressed. The actual text is this second version. The subject matter is stability theory in the general setting of ordinary differential equations using what is known as Liapunov's direct or second method. We concentrate our efforts on this method, not because we underrate those which appear more powerful in some circumstances, but because it is important enough, along with its modern developments, to justify the writing of an up-to-date monograph. Also excellent books exist concerning the other methods, as for example R. Bellman [1953] and W. A. Coppel [1965].



Stability Theory By Liapunov S Direct Method


Stability Theory By Liapunov S Direct Method
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Author : Nicolas Rouche
language : en
Publisher:
Release Date : 1975

Stability Theory By Liapunov S Direct Method written by Nicolas Rouche and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with categories.




Theory And Application Of Liapunov S Direct Method


Theory And Application Of Liapunov S Direct Method
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Author : Wolfgang Hahn
language : en
Publisher: Courier Dover Publications
Release Date : 2019-04-17

Theory And Application Of Liapunov S Direct Method written by Wolfgang Hahn and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04-17 with Mathematics categories.


The groundbreaking work of Russian mathematician A. M. Liapunov (1857–1918) on the stability of dynamical systems was overlooked for decades because of political turmoil. During the Cold War, when it was discovered that his method was applicable to the stability of aerospace guidance systems, interest in his research was rekindled. It has remained high ever since. This monograph on both the theory and applications of Liapunov's direct method reflects the work of a period when the theory had been studied seriously for some time and reached a degree of completeness and sophistication. It remains of interest to applied mathematicians in many areas. Topics include applications of the stability theorems to concrete problems, the converse of the main theorems, Liapunov functions with certain properties of rate of change, the sensitivity of the stability behavior to perturbations, the critical cases, and generalizations of the concept of stability.



On Liapunov S Direct Method


On Liapunov S Direct Method
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Author : John Paul San Giovanni
language : en
Publisher: Nabu Press
Release Date : 2014-02

On Liapunov S Direct Method written by John Paul San Giovanni and has been published by Nabu Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-02 with categories.


This is a reproduction of a book published before 1923. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book.



On Liapunov S Direct Method


On Liapunov S Direct Method
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Author : John Paul San Giovanni
language : en
Publisher: Franklin Classics
Release Date : 2018-10-15

On Liapunov S Direct Method written by John Paul San Giovanni and has been published by Franklin Classics this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-15 with categories.


This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.



Stability By Liapunov S Direct Method


Stability By Liapunov S Direct Method
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Author : Joseph P. LaSalle
language : en
Publisher:
Release Date : 1961

Stability By Liapunov S Direct Method written by Joseph P. LaSalle and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with Stability categories.




Stability By Liapunov S Direct Method With Applications By Joseph L Salle And Solomon Lefschetz


Stability By Liapunov S Direct Method With Applications By Joseph L Salle And Solomon Lefschetz
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Author :
language : en
Publisher: Elsevier
Release Date : 2012-01-25

Stability By Liapunov S Direct Method With Applications By Joseph L Salle And Solomon Lefschetz written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-01-25 with Mathematics categories.


In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation; methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; and methods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory. As a result, the book represents a blend of new methods in general computational analysis, and specific, but also generic, techniques for study of systems theory ant its particular branches, such as optimal filtering and information compression. Best operator approximation, Non-Lagrange interpolation, Generic Karhunen-Loeve transform Generalised low-rank matrix approximation Optimal data compression Optimal nonlinear filtering



Theory And Application Of Liapunov S Direct Method English Ed


Theory And Application Of Liapunov S Direct Method English Ed
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Author : Wolfgang Hahn
language : en
Publisher:
Release Date :

Theory And Application Of Liapunov S Direct Method English Ed written by Wolfgang Hahn and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with Liapunov, Aleksandr Mikhailovich, 1857-1918 categories.




The Analysis And Design Of Nonlinear Control Systems Via Liapunov S Direct Method


The Analysis And Design Of Nonlinear Control Systems Via Liapunov S Direct Method
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Author : Gunther R. Geiss
language : en
Publisher:
Release Date : 1964

The Analysis And Design Of Nonlinear Control Systems Via Liapunov S Direct Method written by Gunther R. Geiss and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with categories.


This report presents the theory of Liapunov's direct method and demonstrates its application in the analysis and design of nonlinear control systems. The report is directed to practicing control system engineers and presents a review of appropriate elements of matrix theory, matrix differential equation theory, and stability theory with reference to control system problems. The theory of the direct method is developed via simple geometric and functional concepts. The various methods of developing Liapunov functions are reviewed, and applications are given in the stability analysis of nonlinear regulator systems and in the determination of the properties of their transient behavior. The report also reviews the various techniques for designing systems via the direct method and presents examples of nonlinear and adaptive system designs. The appendices present detailed reports of original contributions to the theory and application of the direct method which were developed during the investigation, and discussions of subjects closely related to stability analysis. (Author).



The Stability Of Dynamical Systems


The Stability Of Dynamical Systems
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Author : J. P. LaSalle
language : en
Publisher: SIAM
Release Date : 1976-01-01

The Stability Of Dynamical Systems written by J. P. LaSalle and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976-01-01 with Mathematics categories.


An introduction to aspects of the theory of dynamical systems based on extensions of Liapunov's direct method. The main ideas and structure for the theory are presented for difference equations and for the analogous theory for ordinary differential equations and retarded functional differential equations.